Skip to main content
SpringerLink
Log in

On one problem of minimization of area

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We consider the problem of asymptotically optimal location of disks with equal radii for the minimization of the are of the figure bounded by a given curve and a connected union of these disks.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. A. Ligun and A. A. Shumeiko, “On the optimal choice of nodes for the approximation of functions by interpolation splines.” Zh. Vych. Mat. Mat. Fiz., 24, No. 9, 1283–1293 (1984).

    MathSciNet  Google Scholar 

  2. Yu. S. Zav'yalov, B. I. Kvasov, and V. L. Miroshnichenko, Methods of Splines [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  3. B. Sendov, Hausdorff Approximations, Sofia (1979).

Download references

Authors
  1. A. A. Ligun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Shumeiko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dneprodzerzhinsk Industrial Institute, Dneprodzerzhinsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 7, pp. 927–936, July, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ligun, A.A., Shumeiko, A.A. On one problem of minimization of area. Ukr Math J 49, 1040–1050 (1997). https://doi.org/10.1007/BF02528749

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02528749

Keywords

Search

Navigation